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Finding the Fourth Proportional to 3,283.17, 4,925.43 and 1,092.06

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Solution

The fourth proportional to 3,283.17, 4,925.43 and 1,092.06 is: 1,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.17 : 4,925.43 = 1,092.06 : x
  2. Step 2: Convert to fraction form
    3,283.17/4,925.43 = 1,092.06/x
  3. Step 3: Cross multiply
    3,283.17x = 4,925.43 × 1,092.06
  4. Step 4: Simplify right side
    3,283.17x = 5,378,865.09
  5. Step 5: Solve for x
    x = 5,378,865.09/3,283.17
  6. Step 6: Final answer
    x = 1,638.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.